SYMMETRIES OF MECHANICAL SYSTEMS WITH NONLINEAR NONHOLONOMIC CONSTRAINTS
Jiang Li-yana, Guo Yong-xinb, Yu Yingc
a Department of Electronics and Information Engineering, Dandong Advanced Academy, Dandong 118000, China; b Department of Physics, Liaoning University, Shenyang 110036, China; c School of Science, Shenyang University of Technology, Shenyang 110023, China
Abstract The dynamical symmetries and adjoint symmetries of nonlinear nonholonomic constrained mechanical systems are analysed in two kinds of geometrical frameworks whose evolution equations are Routh's equations and generalized Chaplygin's equations, respectively. The Lagrangian inverse problem and the interrelation between Noether's symmetries and dynamical symmetries are briefly concerned with. Finally an illustrative example is analysed.
Received: 21 September 2000
Revised: 21 November 2000
Published: 12 June 2005
(Nonlinear and dynamical symmetries (spectrum-generating symmetries))